Level: BSc, MSci, MSc
Title: Zero-range process
Supervisor:
Research Area: Dynamical Systems and Statistical Physics
Description:

The zero-range process is a paradigmatic Markov model in the field of interacting particle systems. The project is to understand the model, reproduce known results (analytically and/or numerically) and possibly consider some simple extensions, e.g., to more complex geometries.

Further Reading:
  • F. Spitzer, Interaction of Markov processes, Advances in Mathematics 5 (1970), 246290.
  • M.R. Evans and T. Hanney, Nonequilibrium statistical mechanics of the zero-range process and related models, Journal of Physics A: Mathematical and General 38 (2005), R195R240.
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Other Information:
Current Availability: Yes